Geodesic
An initial-boundary value problem for a Sobolev-type strongly nonlinear dissipative equation
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 48 (2008) no. 10, pp. 1860-1877 Cet article a éte moissonné depuis la source Math-Net.Ru

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An initial-boundary value problem is considered for a model equation governing waves in crystalline semiconductors with allowance for strong spatial dispersion, linear dissipation, and sources of free charges. The weak generalized local-in-time solvability of the problem is proved. Sufficient conditions are obtained for the blowup of the solution and for global-in-time solvability. Two-sided estimates for the blowup time are derived. 
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M. O. Korpusov; A. G. Sveshnikov. An initial-boundary value problem for a Sobolev-type strongly nonlinear dissipative equation. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 48 (2008) no. 10, pp. 1860-1877. http://geodesic.mathdoc.fr/item/ZVMMF_2008_48_10_a8/

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